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Finding the Fourth Proportional to 416,004.80, 624,007.20 and 166,865.60

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Solution

The fourth proportional to 416,004.80, 624,007.20 and 166,865.60 is: 250,298.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,004.80 : 624,007.20 = 166,865.60 : x
  2. Step 2: Convert to fraction form
    416,004.80/624,007.20 = 166,865.60/x
  3. Step 3: Cross multiply
    416,004.80x = 624,007.20 × 166,865.60
  4. Step 4: Simplify right side
    416,004.80x = 104,125,335,832.32
  5. Step 5: Solve for x
    x = 104,125,335,832.32/416,004.80
  6. Step 6: Final answer
    x = 250,298.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.